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Finding the Fourth Proportional to 505.32, 754.14 and 476.88

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Solution

The fourth proportional to 505.32, 754.14 and 476.88 is: 711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.32 : 754.14 = 476.88 : x
  2. Step 2: Convert to fraction form
    505.32/754.14 = 476.88/x
  3. Step 3: Cross multiply
    505.32x = 754.14 × 476.88
  4. Step 4: Simplify right side
    505.32x = 359,634.28
  5. Step 5: Solve for x
    x = 359,634.28/505.32
  6. Step 6: Final answer
    x = 711.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.